Question 1 Determine the particular solution z(x, y) of the partial differential equation Əx = 10x²y + 12x²y² subject to the boundary conditions z = y and az y? ax when x = 1.

Advanced Engineering Mathematics
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ISBN:9780470458365
Author:Erwin Kreyszig
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Chapter2: Second-order Linear Odes
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Question 1
Determine the particular solution z(x, y) of the partial differential equation
10x³y + 12x²y²
subject to the boundary conditions
z = y
and
az
= y?
when x = 1.
Question 2
The vector u = i- 2j + 2k is positioned
at a point P in space with coordinates: (x, y, z) = (1, 2, -1). Determine the point Pand the associated
vector u in spherical coordinates.
Transcribed Image Text:Question 1 Determine the particular solution z(x, y) of the partial differential equation 10x³y + 12x²y² subject to the boundary conditions z = y and az = y? when x = 1. Question 2 The vector u = i- 2j + 2k is positioned at a point P in space with coordinates: (x, y, z) = (1, 2, -1). Determine the point Pand the associated vector u in spherical coordinates.
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